Answer:
3√15
Step-by-step explanation:
x=y
x^2+x^2 = 9*30
2x^2 = 270
x^2 = 9*15
x = y = 3√15
Answer:
67°F
Step-by-step explanation:
The mean is another way to say average.
To find the average: you have to add up all of the temperatures, then divide by how many numbers (in this case, time slots) are there.
58°F + 60°F + 61°F + 67°F + 69°F + 73°F + 74°F + 74°F = 536°F
536°F ÷ 8 (total number of time slots) = 67°F
The option C) y = 15/x
a) y = 15 x is an example of direct variation, with proportionality constant = 15
b) is an example of linear variation (it is the equation of a straight line that does not pass through the origin)
c) y = 15/x => y*x = 15 = constant which is the characteristic of an inverse relation
d) y = x/15 is an example of an inverse relation, with proportion constant = 1/15
Answer:
2 7/12
Step-by-step explanation:
−512−−93=?
Since the the second fraction is negative and you are subtracting, remove the negative sign and switch the operation to addition.
The equivalent equation is
−512+93=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(-5/12, 9/3) = 12
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(−5/12×1/1)+(9/3×4/4)=?
Complete the multiplication and the equation becomes
−5/12+36/12=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
−5+36/12=31/12
This fraction cannot be reduced.
The fraction
31/12
is the same as
31÷12
Convert to a mixed number using
long division for 31 ÷ 12 = 2R7, so
31/12=2 7/12
Therefore:
−5/12−−9/3=2 7/12
Answer:
1,185.6 in.
Step-by-step explanation:
volume of the triangular prism = base area x height
the base in the shape of a triangle
area of a triangle = 1/2 x base x height
1/2 x 12 x 10.4 = 62.4 in²
volume = 62.4 x 19 = 1185.6 in
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
